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Finding the Fourth Proportional to 2,189.93, 3,284.53 and 629.57

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Solution

The fourth proportional to 2,189.93, 3,284.53 and 629.57 is: 944.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,189.93 : 3,284.53 = 629.57 : x
  2. Step 2: Convert to fraction form
    2,189.93/3,284.53 = 629.57/x
  3. Step 3: Cross multiply
    2,189.93x = 3,284.53 × 629.57
  4. Step 4: Simplify right side
    2,189.93x = 2,067,841.55
  5. Step 5: Solve for x
    x = 2,067,841.55/2,189.93
  6. Step 6: Final answer
    x = 944.25

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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.